Linear invariant systems

Leon Cohen

doi:10.1117/12.740184

25 September 2007 Linear invariant systems

Leon Cohen

Proceedings Volume 6697, Advanced Signal Processing Algorithms, Architectures, and Implementations XVII; 669707 (2007) https://doi.org/10.1117/12.740184
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

We formulate in a simple fashion the concept of invariance for a linear system. We show that one must define what we call an "associated Hermitian operator" which commutes with the system function. We show that it is this Hermitian operator that defines the invariance and also determines the appropriate transform and other connections between input and output relations.

Citation Download Citation

Leon Cohen "Linear invariant systems", Proc. SPIE 6697, Advanced Signal Processing Algorithms, Architectures, and Implementations XVII, 669707 (25 September 2007); https://doi.org/10.1117/12.740184

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